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Finding the Fourth Proportional to 5,762.54, 8,639.87 and 2,838.65

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Solution

The fourth proportional to 5,762.54, 8,639.87 and 2,838.65 is: 4,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.54 : 8,639.87 = 2,838.65 : x
  2. Step 2: Convert to fraction form
    5,762.54/8,639.87 = 2,838.65/x
  3. Step 3: Cross multiply
    5,762.54x = 8,639.87 × 2,838.65
  4. Step 4: Simplify right side
    5,762.54x = 24,525,509.58
  5. Step 5: Solve for x
    x = 24,525,509.58/5,762.54
  6. Step 6: Final answer
    x = 4,256.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.